Over the counter meds.... do NOT CURE the "cold."
It only serves to alleviate discomfort.
The illness, will still be there.
Don't give anything, without the Pediatrician telling you.
AND BECAUSE, your child has already had, 2 Asthma attacks brought on by colds.
I HIGHLY EMPHASIZE: do not, give over the counter meds to your child willy nilly because she has Asthma. MANY OTC meds, will actually say, do not give to people with Asthma or lung problems.
I know, I have Asthma.
Your child, should be seen by your Pediatrician.
Because, she has MORE issues than a "normal" person. ie: Asthma.
Just so you know, as Asthma attack... can come on very suddenly and you CANNOT PREDICT it.
AND also know that.... a cold, can linger, and it can then become a secondary infection, and it can then turn into Bronchitis or even PNEUMONIA.
I know first hand, because that happened to me too. I have Asthma and colds can quickly, become a VERY serious matter. It can progress more than in a normal person and become very bad very fast.
You need to take your child to the Doctor.